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2154520000 = 265461883
BaseRepresentation
bin1000000001101011…
…0101110111000000
312120011002221211001
42000122311313000
513403024120000
6553442501344
7104251055263
oct20032656700
95504087731
102154520000
11a06196846
12501664854
13284499709
141661dccda
15c923646a
hex806b5dc0

2154520000 has 140 divisors (see below), whose sum is σ = 5436241096. Its totient is φ = 846720000.

The previous prime is 2154519979. The next prime is 2154520021. The reversal of 2154520000 is 254512.

It is an interprime number because it is at equal distance from previous prime (2154519979) and next prime (2154520021).

It is a self number, because there is not a number n which added to its sum of digits gives 2154520000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2439559 + ... + 2440441.

Almost surely, 22154520000 is an apocalyptic number.

2154520000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718120548).

2154520000 is an abundant number, since it is smaller than the sum of its proper divisors (3281721096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2154520000 is an frugal number, since it uses more digits than its factorization.

2154520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2154520000 is about 46416.8073008043. The cubic root of 2154520000 is about 1291.5667121173.

Adding to 2154520000 its reverse (254512), we get a palindrome (2154774512).

The spelling of 2154520000 in words is "two billion, one hundred fifty-four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 883 976 1000 1220 1250 1525 1600 1766 1952 2000 2440 2500 3050 3532 3904 4000 4415 4880 5000 6100 7064 7625 8000 8830 9760 10000 12200 14128 15250 17660 19520 20000 22075 24400 28256 30500 35320 38125 40000 44150 48800 53863 56512 61000 70640 76250 88300 97600 107726 110375 122000 141280 152500 176600 215452 220750 244000 269315 282560 305000 353200 430904 441500 488000 538630 551875 610000 706400 861808 883000 1077260 1103750 1220000 1346575 1412800 1723616 1766000 2154520 2207500 2440000 2693150 3447232 3532000 4309040 4415000 5386300 6732875 7064000 8618080 8830000 10772600 13465750 17236160 17660000 21545200 26931500 33664375 35320000 43090400 53863000 67328750 86180800 107726000 134657500 215452000 269315000 430904000 538630000 1077260000 2154520000